Lance Armstrong will do just about anything he legally can to avoid testifying under oath.

But he's running out of options after the Texas Supreme Court on Friday denied his request to delay his scheduled deposition on June 12.

The court's decision comes after the disgraced cyclist asked the court to intervene, saying he was in jeopardy of suffering "irreparable harm from ongoing arbitration proceedings" against longtime legal nemesis SCA Promotions, a sports insurance company in Dallas.

Unless he settles the case or tries another last-ditch appeal, he will go under oath in two weeks.

"SCA is pleased that it will get an opportunity to hold Mr. Armstrong accountable for his outrageous conduct during our prior legal proceedings," said Jeff Tillotson, SCA's attorney, told USA TODAY Sports on Friday. "Our position is simple. No one should be able to relentlessly perjure themselves and get away with it."

Tillotson is the only opposing attorney to question Armstrong under oath about doping, the last time coming in a previous suit between the two parties from 2004-06. In that case, Armstrong sued SCA after it withheld his Tour de France victory bonus on the suspicion that he cheated to win. Armstrong falsely testified then that he did not dope, leading SCA to settle the case for $7.5 million. That agreement said the case could not be reopened – a point that Armstrong's attorneys have stressed to the courts in their appeals.

SCA Promotions is seeking to have Armstrong punished for that false testimony and last year filed a $12 million fraud suit against him, seeking the return of bonuses it paid him for winning the Tour de France from 2002-04.

After years of denials, Armstrong last year finally admitted to doping in a televised interview with Oprah Winfrey. But since then, he has not been placed under oath to answer questions about it from a hostile attorney, except for some written answers he was compelled to give late last year in a different case.

With two big fraud lawsuits against him pending, his attorneys want to avoid having him sit for multiple depositions about events that happened several years ago. Faulty memories could lead to inconsistent testimony from Armstrong, risking his defense.

But his strategy isn't cheap.

In a case against different insurance company that paid his Tour bonuses from 1999 to 2001, Armstrong reached an undisclosed settlement to end the case one day before he was scheduled to give testimony. This time he's hired another law firm to make his case with the state supreme court.

"(Armstrong and co-defendants) have incurred significant fees in this matter and will continue to do so absent the requested stay," Armstrong's attorneys wrote the court.

Armstrong appealed to state supreme court earlier this month after a Texas appeals court denied a similar request by him to block SCA's case against him. That previous appeal came in March, shortly before he was scheduled to go under oath in a deposition. The appellate court agreed to suspend the proceedings back then but dissolved the suspension in April, leading to his appeal to the state supreme court.

"SCA remains concerned about the extreme delay perpetuated by Mr. Armstrong in this matter and therefore requests the earliest possible dates for (depositions),"Tillotson wrote last month in an e-mail to the Texas arbitration panel that agreed to consider the SCA case.

The SCA case is one of two major fraud suits pending against him. In the other, the federal government claims Armstrong's doping violated his sponsorship agreements with the U.S. Postal Service – a case could that could cost him $90 million.